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Find the coefficient of x^4 in the expan...

Find the coefficient of `x^4` in the expansion of `(1+x+x^2+x^3)^(11)dot`

Text Solution

Verified by Experts

The correct Answer is:
990
`(1+x)^(11) + (1+x)^(11) = (1+.^(11)C_(1)x+ .^(11)C_(2)x^(2)+.^(11)C_(3)x^(3) + .^(11)C_(4)x^(4)+"…….") xx (1+.^(11)C_(1)(x^(2))+.^(11)C_(2)(x^(2))^(2)+"……")`
Coefficient of `x^(4)` is `.^(11)C_(2).1 + .^(11)C_(1)..^(11)C_(2).+ .^(11)C_(4) = 990`
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